Notes on Rings with Strong 2-Sum Property-Reference-Cited by-同舟云学术

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Notes on Rings with Strong 2-Sum Property

Published:2020-11-05 Issue:04 Volume:27 Page:821-830
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Li Yu¹²,Su Huadong³,Tang Gaohua³⁴,Zhou Yiqiang⁵

Affiliation:

1. School of Mathematics and Statistics, Guangxi Normal University, Guilin, Guangxi 541004, China

2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

3. School of Mathematics and Statistics, Nanning Normal University, Nanning 530001, China

4. School of Sciences, Beibu Gulf University, Qinzhou, Guangxi 535011, China

5. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Canada

Abstract

A ring is said to satisfy the strong 2-sum property if every element is a sum of two commuting units. In this note, we present some sufficient or necessary conditions for the matrix ring over a commutative local ring to have the strong 2-sum property.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386720000681

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